Geodesic
Functional equations in geometry of two sets
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2010), pp. 64-72

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We solve a functional equation connected with deformations of the canonical form of a metric function giving on one-dimensional manifolds the geometry of two sets (physical structure) of rank (2,2). We study four types of such deformations.
Keywords: functional equation, geometry of two sets (physical structure), deformation of metric function. 
@article{IVM_2010_7_a5,
     author = {G. G. Mikhailichenko},
     title = {Functional equations in geometry of two sets},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {64--72},
     publisher = {mathdoc},
     number = {7},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_7_a5/}
}
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G. G. Mikhailichenko. Functional equations in geometry of two sets. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2010), pp. 64-72. http://geodesic.mathdoc.fr/item/IVM_2010_7_a5/